Answer:
A. $2,000
Step-by-step explanation:
<em>Assuming that the money in the savings account will be used to pay off for tractor.</em>
<em>let the number of months be m</em>
Savings after m months will be 500+ 150m
After m months the installments paid will 200m
To find the months it will take to pay for the tractor in m months, savings and the installments will be the price of the tractor. As an equation it be represented as below:
500+150m +200m = 4000
150m + 200m = 4000-500 <em>(grouping like terms)</em>
350m = 3500 <em>(Making m the subject of the formula)</em>
350m/350 = 3500/350
m = 10
Substituting m into the equation of saving after m months
<em>Savings after m months will be</em> 500+ 150m
<em>Savings after m months will be</em> 500 + 150(10)
<em>Savings after m months will be</em> 500 + 1500
Savings after m months will be $2000
Answer:
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Step-by-step explanation:
Given:
Let
A(x₁ , y₁) = (1 , 4) and
B( x₂ , y₂ ) = (-1 , 2)
To Find:
θ = ?
Solution:
Slope of a line when two points are given is given bt

Substituting the values we get

Also Slope of line when angle ' θ ' is given as

Substituting Slope = 1 we get


We Know That for angle 45°,
tan 45 = 1
Therefore

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Answer:
Sajini = 200
Drea = 225
Step-by-step explanation:
d = amount Drea earned
s = amount Sajini earned
Together they earned 425
d+s =425
d = s+25
The system of equations
d+s =425
d = s+25
I will use substitution to solve
Substitute d= s+25 into the first equation
d+s =425
(s+25) + s = 425
Combine like terms
2s+25 =425
Subtract 25 from each side
2s+25-25 =425-25
2s = 400
Divide by 2
2s/2 =400/2
s =200
Sajini = 200
Now we need to find d
d = s+25
d = 200 + 25
d = 225
Drea = 225
27 year-old in the year of 2017
#1:
Solve:
-5/12 x 8/13 = -40/156
-40/156 can both be divided by 4: 40 ÷ 4 = 10 & 156 ÷ 4 = 39
Your final answer is: Option 2, -10/39
#2
Solve:
3/8 x (-3/6) you can first simplify 3/6 into 1/2 so-- 3/8 x (-1/2) = -3/16
Your answer is: -3/16
I've solved two of them for you, can you solve the rest on your own? (Reply if you need more answers)